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12220120210221 = 3371142114339743
BaseRepresentation
bin1011000111010011011111…
…1011001001101100101101
31121021020021012002100222000
42301310313323021230231
53100203301233211341
641553502402042513
72400605653641360
oct261646773115455
947236235070860
1012220120210221
11399158430a810
121454411649439
136a84772851a1
14303657d180d7
15162d179588b6
hexb1d37ec9b2d

12220120210221 has 128 divisors (see below), whose sum is σ = 22642798510080. Its totient is φ = 6327966758400.

The previous prime is 12220120210219. The next prime is 12220120210241. The reversal of 12220120210221 is 12201202102221.

It is a happy number.

12220120210221 is a `hidden beast` number, since 1 + 2 + 220 + 12 + 0 + 210 + 221 = 666.

It is not a de Polignac number, because 12220120210221 - 21 = 12220120210219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12220120210194 and 12220120210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220120210241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1254241276 + ... + 1254251018.

It is an arithmetic number, because the mean of its divisors is an integer number (176896863360).

Almost surely, 212220120210221 is an apocalyptic number.

12220120210221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12220120210221 is a deficient number, since it is larger than the sum of its proper divisors (10422678299859).

12220120210221 is a wasteful number, since it uses less digits than its factorization.

12220120210221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11624 (or 11618 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12220120210221 its reverse (12201202102221), we get a palindrome (24421322312442).

It can be divided in two parts, 1 and 2220120210221, that added together give a palindrome (2220120210222).

The spelling of 12220120210221 in words is "twelve trillion, two hundred twenty billion, one hundred twenty million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 421 693 1263 1433 2079 2947 3789 4299 4631 8841 9743 10031 11367 12897 13893 15763 26523 29229 30093 32417 38691 41679 47289 68201 79569 87687 90279 97251 107173 110341 125037 141867 204603 263061 270837 291753 321519 331023 425601 603293 613809 750211 875259 964557 993069 1809879 1841427 2250633 2893671 2979207 4101803 4223051 5429637 6636223 6751899 12305409 12669153 13961719 16288911 19908669 20255697 28712621 36916227 38007459 41885157 45119833 46453561 59726007 86137863 97732033 110748681 114022377 125655471 135359499 139360683 153578909 179178021 258413589 293196099 315838831 376966413 406078497 418082049 460736727 775240767 879588297 947516493 1075052363 1218235491 1254246147 1382210181 2638764891 2842549479 3225157089 4146630543 5877883699 8527648437 9675471267 17633651097 29026413801 41145185893 52900953291 64656720689 123435557679 158702859873 193970162067 370306673037 452597044823 581910486201 1110920019111 1357791134469 1745731458603 4073373403407 12220120210221